Question

1. solve for x. round answers to the nearest tenth.

Explanation:

Step1: Use tangent function

In a right - triangle, $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here, $\theta = 32^{\circ}$, the opposite side to the angle is 9 and the adjacent side is $x$. So, $\tan32^{\circ}=\frac{9}{x}$.

Step2: Solve for $x$

We can rewrite the equation as $x=\frac{9}{\tan32^{\circ}}$. Since $\tan32^{\circ}\approx0.6249$, then $x=\frac{9}{0.6249}\approx14.4$.

Answer:

$14.4$